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For and hypothesis
For example, the generalized continuum hypothesis ( GCH ) is not only independent of ZF, but also independent of ZFC.
* For the frequentist a hypothesis is a proposition ( which must be either true or false ), so that the frequentist probability of a hypothesis is either one or zero.
For example, the Riemann hypothesis is a conjecture from number theory that ( amongst other things ) makes predictions about the distribution of prime numbers.
For the acceptance of the hypothesis, there are, as we have suggested, quite compelling grounds.
For example, mammal-eating killer whales were long thought likely to be closely related to other mammal-eating killer whales from different regions, but genetic testing refuted this hypothesis.
For instance, James G. Gilson has constructed a " Quantum Theory of Gravity " based loosely on Dirac's large number hypothesis.
For his result on the continuum hypothesis, Cohen won the Fields Medal in mathematics in 1966, and also the National Medal of Science in 1967.
For example, in one study done by Jeffrey Grogger and Greg Ridgeway, the veil of darkness hypothesis was used to determine whether or not racial profiling in traffic stops occurs in Oakland, California.
For this reason, one main hypothesis was later replicated in a controlled experiment by Cornell sociologist Robb Willer, who self-published the results in his homepage ; the report was not published by a peer-reviewed journal, which returned it with a " Revise and Resubmit " advice.
For example, if some scientists may conclude that certain observations confirm a specific hypothesis, skeptical colleagues may suspect that something is wrong with the test equipment.
For example, the giant impact hypothesis implies that a surface magma ocean would have formed following the impact.
For our hypothesis, we assume S ( k ) is true for some natural k. That is, we assume
For example, in astronomy it is clearly impossible, when testing the hypothesis " suns are collapsed clouds of hydrogen ", to start out with a giant cloud of hydrogen, and then perform the experiment of waiting a few billion years for it to form a sun.
For illustrations of different analyses of noun phrases depending on whether the DP hypothesis is rejected or accepted, see the next section.
For example, those trying to support or refute Crowne's hypothesis found the " Hero on the Beach " formula in numerous Old English poems.
For example, if one observes a pair of fair dice being rolled and turning up double sixes, it is wrong to suppose that this lends any support to the hypothesis that the dice have been rolled many times before.
For a long time, the local police supported the hypothesis that her mother Patsy Ramsey injured her child in a fit of rage after the girl had wet her bed on the same night, and then proceeded to kill her either in rage or to cover up the original injury.
For instance, regarding Sowell's theory that women are underrepresented in fields like law and engineering because of the heavy responsibilities of marriage such as childrearing and other household work: " A plausible alternative to Mr. Sowell's hypothesis on women's pay differentials and occupational segregation is that women are virtually excluded from many desirable positions and therefore crowd into obtainable occupations.
For instance, if one's worldview is fixed by one's language, as according to a strong version of the Sapir – Whorf hypothesis, one would have to learn or invent a new language in order to construct a new worldview.
For example, the null hypothesis might be that there is no relationship between two measured phenomena or that a potential treatment has no effect.
For instance, when formulating a one-tailed alternative hypothesis, application of Drug A will lead to increased growth in patients, then the true null hypothesis is the opposite of the alternative hypothesis, i. e. application of Drug A will not lead to increased growth in patients ( a composite null hypothesis ).

For and concerning
Also, supporters of this view would characterize Luke ’ s portrayal of the Roman Empire as positive because they believe Luke “ glosses over negative aspects of the empire and presents imperial power positively .” For example, when Paul is before the council defending himself, Paul says that he is “ on trial concerning the hope of the resurrection of the dead ” ( Acts 23: 6 ).
Many who side with this view disagree that Luke portrays Christianity or the Roman Empire as harmless and thus reject the apologetic view because “ Acts does not present Christians as politically harmless or law abiding for there are a large number of public controversies concerning Christianity, particularly featuring Paul .” For example, to support this view Cassidy references how Paul is accused of going against the Emperor because he is “ saying that there is another king named Jesus .” ( Acts 17: 7 ) Furthermore, there are multiple examples of Paul ’ s preaching causing uprisings in various cities ( Acts 14: 2 ; 14: 19 ; 16: 19-23 ; 17: 5 ; 17: 13-14 ; 19: 28-40 ; 21: 27 ).
For Friedrich Wilhelm Joseph Schelling, the philosophy of art is the " organon " of philosophy concerning the relation between man and nature.
For example, concerning the parameter of per capita income growth, development economist Ha-Joon Chang writes that considering the record of the last two decades the argument for continuing neo-liberal policy prescriptions are " simply untenable.
For concerning these, the Lord put to shame the Sadducees, and said, ' Ye do err, not knowing the Scriptures ' and He reproved the Jews, saying, ' Search the Scriptures, for these are they that testify of ME ".
For example, a students ' union may be prohibited as an organization from engaging in activities not concerning students ; if the union becomes involved in non-student activities these activities are considered ultra vires of the union's charter, and nobody would be compelled by the charter to follow them.
For example, a payroll file might contain information concerning all the employees in a company and their payroll details ; each record in the payroll file concerns just one employee, and all the records have the common trait of being related to payroll — this is very similar to placing all payroll information into a specific filing cabinet in an office that does not have a computer.
For example, many Orthodox rulings concerning electricity are derived from rulings concerning fire, as electricity is deemed to be a form of fire.
For almost every other prophet, more information is given, such as the name of the prophet's hometown, his occupation, or information concerning his parentage or tribe.
The prophecies of doom concerning the fall of both the House of Jeroboam and the northern kingdom as a whole (" For the Lord shall smite Israel ..., and he shall root up Israel out of this good land, which he gave to their fathers, and shall scatter them beyond the river ") might have been composed retroactively, after the events described had already come to pass ( this position is a secular or non-literal approach to scripture ).
Thus intuitionists absolutely disallow the blanket assertion: " For all propositions P concerning infinite sets D: P or ~ P " ( Kleene 1952: 48 ).
Déjacque wrote that: ‘ By government I understand all delegation, all power outside the people ,’ for which must be substituted, in a process whereby politics is transcended, the ‘ people in direct possession of their sovereignty ,’ or the ‘ organised commune .’ For Déjacque, the communist anarchist utopia would fulfil the function of inciting each proletarian to explore his or her own human potentialities, in addition to correcting the ignorance of the proletarians concerning ‘ social science .’"
For example, systems level analysis addresses questions concerning specific sensory and motor modalities: how does vision work?
For in these was reflected that which a personality must feel concerning the evolution and essential being of humanity when this personality is kept back from grasping the spiritual world by the restricted thought in the philosophy of nature characterizing the end of the 19th century .... What attracted me particularly was that one could read Nietzsche without coming upon anything which strove to make the reader a ' dependent ' of Nietzsche's.
For instance, a risk concerning the image of the organization should have top management decision behind it whereas IT management would have the authority to decide on computer virus risks.
For example Irenaeus concerning Isaiah 7: 14: The Septuagint clearly writes of a virgin that shall conceive.
: For their intention in writing was that either from their own memory and recollections, or from the witness of those who " themselves from the beginning were eyewitnesses and ministers of the Word " we might know " the truth " concerning those matters about which we have been instructed ( see Luke 1: 2 – 4 ).
For details concerning the older literature, i. e. from before 1973, the reader is referred to the review of Ogniben ( 1973 )
:* For the often specific terminology concerning a probable heir apparent, see Crown Prince and links there.
For example, Richard Nixon's " Checkers speech " of 1952 was a successful effort to dispel a scandal concerning a rumored slush fund of campaign contributions.
For years, vague prophecies had been circulating in France concerning an armed maid who would rescue France.
For example, there are numerous theories concerning the homeland and early movements of the Proto-Indo-Europeans, each with its own interpretation of the archaeological record.
Saint Cyril of Jerusalem, in his Catechetical Homilies says: " For we explain not what God is but candidly confess that we have not exact knowledge concerning Him.
A Walking Tour of the Shambles ( Little Walks For Sightseers # 16 ) ( 2002 ), written by Neil Gaiman and Gene Wolfe, is a tour guide concerning a fictional part of Chicago called ' The Shambles '.

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